Given numbers are 107,136,451,946,782

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 107,136,451,946,782 is 6490759528.

Find LCM of 107,136,451,946,782 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 11 x 17 x 107 x 4 x 41 x 43 x 23 = 6490759528

Therefore, the lowest common multiple of 107,136,451,946,782 is 6490759528.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

107 x 136 x 451 x 946 x 782 = 4855088126944

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

107 : 1, 107

136 : 1, 2, 4, 8, 17, 34, 68, 136

451 : 1, 11, 41, 451

946 : 1, 2, 11, 22, 43, 86, 473, 946

782 : 1, 2, 17, 23, 34, 46, 391, 782

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,136,451,946,782, is 1.

Now, the common factors can be found like this.

107:107

136:2x 2x 2x 17

451:11x 41

946:2x 11x 43

782:2x 17x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 11x 17 = 748

Therefore, the value for common factors is 748.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 4855088126944/(1x748)

LCM = 4855088126944/748

LCM = 6490759528

Thus, we can understand that the LCM of 107,136,451,946,782 is 6490759528.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 309, 705, 691, 170, 398
• LCM of 919, 886, 969, 890, 297
• LCM of 888, 335, 572, 162, 547
• LCM of 987, 977, 731, 481, 927
• LCM of 175, 930, 309, 316, 471

1. What is the LCM of 107, 136, 451, 946, 782?

Answer: LCM of 107, 136, 451, 946, 782 is 6490759528.

2. How to calculate the LCM of 107, 136, 451, 946, 782?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 107, 136, 451, 946, 782.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.